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A contructor undertakes to build a wall 1000 meter long in 50 days. He employed 56 men but at the end of 27 days he finds that only 448 meter of wall is

build. How many extra men must the contractor employ so that the wall is completed in time .



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In 27 days; 56 men built 448 m wall.
In 1 day 56 men will build =448/27 m of wall
In 1 day,wall built by 1 man=448/(27×56)

Length of wall to be built=1000-448=552 m
Remaining days =50-27 = 23 days
in 23 days, 1 men will build = (23×448)/(27×56) m of wall

let total number of men required to complete it in time = x.
so x men will build 552m of wall in 23 days. Thus 

 \frac{23 \times 448 \times x}{27 \times 56} =552\\ \\x=  \frac{27 \times 56 \times 552}{23 \times 448}=81

Extra men = 81-56 = 25
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